Query:
/api/av_fq_isog/?_offset=0
{'abvar_count': 1664, 'abvar_counts': [1664, 2768896, 4750189184, 8002109440000, 13422659102962304, 22564297283790585856, 37929227195304976529024, 63758973775802534461440000, 107178930967531186774997577344, 180167777394336803493908044988416], 'abvar_counts_str': '1664 2768896 4750189184 8002109440000 13422659102962304 22564297283790585856 37929227195304976529024 63758973775802534461440000 107178930967531186774997577344 180167777394336803493908044988416 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.214776712522723, 0.785223287477277], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 42, 'curve_counts': [42, 1646, 68922, 2831838, 115856202, 4750274126, 194754273882, 7984918073278, 327381934393962, 13422658895772206], 'curve_counts_str': '42 1646 68922 2831838 115856202 4750274126 194754273882 7984918073278 327381934393962 13422658895772206 ', 'curves': ['y^2=33*x^6+22*x^5+6*x^4+10*x^3+38*x^2+18*x', 'y^2=34*x^6+9*x^5+36*x^4+19*x^3+23*x^2+26*x', 'y^2=15*x^6+27*x^5+17*x^4+40*x^3+9*x^2+17*x+9', 'y^2=8*x^6+39*x^5+20*x^4+35*x^3+13*x^2+20*x+13', 'y^2=28*x^6+9*x^5+30*x^4+24*x^3+36*x^2+27*x+1', 'y^2=4*x^6+13*x^5+16*x^4+21*x^3+11*x^2+39*x+6', 'y^2=15*x^6+11*x^5+26*x^4+37*x^3+x^2+19*x+2', 'y^2=38*x^6+12*x^5+32*x^4+8*x^3+10*x^2+18*x+4', 'y^2=23*x^6+31*x^5+28*x^4+7*x^3+19*x^2+26*x+24', 'y^2=34*x^6+10*x^5+11*x^4+39*x^3+40*x^2+40*x+31', 'y^2=34*x^6+30*x^5+6*x^4+2*x^3+5*x^2+14*x+36', 'y^2=16*x^6+18*x^5+12*x^4+22*x^3+5*x^2+34*x+20', 'y^2=14*x^6+26*x^5+31*x^4+9*x^3+30*x^2+40*x+38', 'y^2=17*x^6+23*x^5+2*x^4+34*x^3+24*x^2+11*x+4', 'y^2=20*x^6+15*x^5+12*x^4+40*x^3+21*x^2+25*x+24', 'y^2=33*x^6+27*x^4+11*x^3+36*x^2+4*x+25', 'y^2=34*x^6+39*x^4+25*x^3+11*x^2+24*x+27', 'y^2=14*x^6+35*x^5+35*x^4+9*x^3+40*x^2+8*x+17', 'y^2=5*x^6+21*x^4+3*x^2+14', 'y^2=38*x^6+15*x^4+8*x^2+8', 'y^2=38*x^6+34*x^5+20*x^4+29*x^3+16*x^2+20*x+7', 'y^2=23*x^6+40*x^5+38*x^4+10*x^3+14*x^2+38*x+1', 'y^2=36*x^6+30*x^5+7*x^4+38*x^3+33*x^2+36*x+20', 'y^2=11*x^6+16*x^5+x^4+23*x^3+34*x^2+11*x+38', 'y^2=3*x^6+13*x^5+33*x^4+9*x^3+22*x^2+24*x+9', 'y^2=18*x^6+37*x^5+34*x^4+13*x^3+9*x^2+21*x+13', 'y^2=5*x^6+24*x^5+23*x^4+23*x^3+31*x^2+15*x+8', 'y^2=30*x^6+21*x^5+15*x^4+15*x^3+22*x^2+8*x+7', 'y^2=28*x^6+24*x^5+12*x^4+25*x^3+27*x^2+9*x+1', 'y^2=4*x^6+21*x^5+31*x^4+27*x^3+39*x^2+13*x+6', 'y^2=7*x^6+38*x^5+32*x^4+34*x^3+28*x^2+35*x+5', 'y^2=x^6+23*x^5+28*x^4+40*x^3+4*x^2+5*x+30', 'y^2=37*x^6+5*x^5+20*x^4+24*x^3+36*x^2+39*x', 'y^2=17*x^6+30*x^5+38*x^4+21*x^3+11*x^2+29*x', 'y^2=3*x^6+35*x^5+31*x^4+39*x^3+3*x^2+11*x+35', 'y^2=18*x^6+5*x^5+22*x^4+29*x^3+18*x^2+25*x+5', 'y^2=19*x^6+7*x^5+15*x^4+13*x^3+7*x^2+8*x+22', 'y^2=32*x^6+x^5+8*x^4+37*x^3+x^2+7*x+9', 'y^2=30*x^6+19*x^5+23*x^3+29*x^2+3*x+6', 'y^2=20*x^6+33*x^5+27*x^4+13*x^3+27*x^2+33*x+20', 'y^2=38*x^6+34*x^5+39*x^4+37*x^3+39*x^2+34*x+38', 'y^2=12*x^6+16*x^4+14*x^2+9', 'y^2=31*x^6+20*x^4+38*x^2+13', 'y^2=7*x^6+23*x^5+25*x^4+27*x^3+27*x^2+35*x+5', 'y^2=x^6+15*x^5+27*x^4+39*x^3+39*x^2+5*x+30', 'y^2=x^6+30*x^5+26*x^4+14*x^3+29*x^2+31*x+32', 'y^2=6*x^6+16*x^5+33*x^4+2*x^3+10*x^2+22*x+28', 'y^2=40*x^6+18*x^5+33*x^4+25*x^3+3*x^2+32*x+4', 'y^2=35*x^6+26*x^5+34*x^4+27*x^3+18*x^2+28*x+24', 'y^2=16*x^6+21*x^5+5*x^4+11*x^3+37*x^2+23*x+34', 'y^2=34*x^6+24*x^5+6*x^4+23*x^3+33*x^2+31*x+30', 'y^2=40*x^6+21*x^5+36*x^4+15*x^3+34*x^2+22*x+16', 'y^2=35*x^6+16*x^5+6*x^4+17*x^3+9*x^2+36*x+25', 'y^2=5*x^6+14*x^5+36*x^4+20*x^3+13*x^2+11*x+27', 'y^2=9*x^6+16*x^5+21*x^4+12*x^3+20*x^2+16*x', 'y^2=13*x^6+14*x^5+3*x^4+31*x^3+38*x^2+14*x', 'y^2=15*x^6+36*x^5+5*x^4+19*x^3+5*x^2+28*x+22', 'y^2=31*x^6+40*x^5+11*x^4+39*x^3+40*x+6', 'y^2=22*x^6+35*x^5+25*x^4+29*x^3+35*x+36', 'y^2=29*x^6+4*x^5+18*x^4+18*x^3+17*x^2+39*x+33', 'y^2=9*x^6+3*x^5+x^4+23*x^3+23*x^2+18*x+25', 'y^2=13*x^6+18*x^5+6*x^4+15*x^3+15*x^2+26*x+27', 'y^2=36*x^6+33*x^5+24*x^4+21*x^3+38*x^2+22*x+33', 'y^2=11*x^6+34*x^5+21*x^4+3*x^3+23*x^2+9*x+34', 'y^2=26*x^6+8*x^5+10*x^4+13*x^3+34*x^2+10*x+8', 'y^2=33*x^6+7*x^5+19*x^4+37*x^3+40*x^2+19*x+7', 'y^2=20*x^6+11*x^5+39*x^4+8*x^3+7*x^2+22*x+24', 'y^2=13*x^6+16*x^5+5*x^4+38*x^3+8*x^2+5*x+11', 'y^2=37*x^6+14*x^5+30*x^4+23*x^3+7*x^2+30*x+25', 'y^2=14*x^6+30*x^5+17*x^4+x^3+25*x^2+27*x+33', 'y^2=23*x^6+25*x^4+27*x^3+8*x^2+37*x+28', 'y^2=15*x^6+27*x^4+39*x^3+7*x^2+17*x+4', 'y^2=17*x^6+6*x^5+20*x^4+11*x^3+35*x^2+3*x+20', 'y^2=25*x^6+7*x^5+39*x^4+31*x^2+12*x+34', 'y^2=27*x^6+x^5+29*x^4+22*x^2+31*x+40', 'y^2=15*x^6+18*x^5+12*x^4+4*x^3+22*x^2+23*x+18', 'y^2=29*x^6+39*x^4+29*x^2+32', 'y^2=14*x^6+38*x^4+23*x^2+31', 'y^2=4*x^6+5*x^5+11*x^4+2*x^3+4*x^2+17*x+3', 'y^2=24*x^6+30*x^5+25*x^4+12*x^3+24*x^2+20*x+18', 'y^2=35*x^6+17*x^5+38*x^4+29*x^3+36*x^2+29*x+36', 'y^2=12*x^6+29*x^5+30*x^4+14*x^3+8*x^2+15*x+22', 'y^2=11*x^6+4*x^5+16*x^4+2*x^3+x^2+34*x+23', 'y^2=25*x^6+24*x^5+14*x^4+12*x^3+6*x^2+40*x+15', 'y^2=5*x^6+15*x^5+6*x^4+24*x^3+34*x^2+16*x+4', 'y^2=30*x^6+8*x^5+36*x^4+21*x^3+40*x^2+14*x+24', 'y^2=9*x^6+40*x^5+17*x^4+12*x^3+16*x^2+29*x+12', 'y^2=13*x^6+35*x^5+20*x^4+31*x^3+14*x^2+10*x+31', 'y^2=39*x^6+7*x^5+2*x^4+2*x^3+x^2+30*x+7', 'y^2=37*x^6+22*x^5+38*x^4+3*x^3+21*x^2+11*x+3', 'y^2=17*x^6+9*x^5+23*x^4+18*x^3+3*x^2+25*x+18', 'y^2=14*x^6+12*x^5+12*x^4+6*x^3+19*x^2+13*x+28', 'y^2=2*x^6+31*x^5+31*x^4+36*x^3+32*x^2+37*x+4', 'y^2=6*x^5+15*x^4+28*x^3+19*x^2+32*x+1', 'y^2=20*x^6+37*x^5+8*x^3+25*x^2+16*x+7', 'y^2=38*x^6+17*x^5+7*x^3+27*x^2+14*x+1', 'y^2=37*x^6+25*x^5+25*x^4+5*x^3+22*x^2+16*x+29', 'y^2=17*x^6+27*x^5+27*x^4+30*x^3+9*x^2+14*x+10', 'y^2=5*x^6+22*x^5+19*x^4+2*x^3+25*x^2+6*x+36', 'y^2=27*x^6+7*x^5+5*x^4+23*x^3+14*x^2+37*x+12', 'y^2=39*x^6+x^5+30*x^4+15*x^3+2*x^2+17*x+31', 'y^2=13*x^6+13*x^5+38*x^4+32*x^3+38*x^2+13*x+13', 'y^2=37*x^6+37*x^5+23*x^4+28*x^3+23*x^2+37*x+37', 'y^2=12*x^6+9*x^5+39*x^4+23*x^3+3*x^2+10*x+21', 'y^2=7*x^6+8*x^5+40*x^4+14*x^3+6*x^2+27*x+36', 'y^2=x^6+7*x^5+35*x^4+2*x^3+36*x^2+39*x+11', 'y^2=13*x^6+12*x^5+3*x^4+2*x^3+6*x^2+28*x+6', 'y^2=37*x^6+31*x^5+18*x^4+12*x^3+36*x^2+4*x+36', 'y^2=x^6+35*x^5+33*x^4+39*x^3+29*x^2+34*x+29', 'y^2=5*x^6+6*x^5+14*x^4+7*x^3+x^2+x+33', 'y^2=37*x^6+21*x^5+11*x^4+20*x^3+16*x^2+35*x+2', 'y^2=17*x^6+3*x^5+25*x^4+38*x^3+14*x^2+5*x+12', 'y^2=35*x^6+38*x^5+13*x^4+26*x^3+8*x^2+28*x+4', 'y^2=5*x^6+23*x^5+37*x^4+33*x^3+7*x^2+4*x+24', 'y^2=6*x^6+8*x^5+31*x^4+2*x^3+35*x^2+16*x+40', 'y^2=36*x^6+22*x^5+10*x^4+27*x^3+39*x^2+8*x+15', 'y^2=11*x^6+9*x^5+19*x^4+39*x^3+29*x^2+7*x+8', 'y^2=36*x^6+13*x^5+21*x^4+29*x^3+22*x^2+35*x+19', 'y^2=10*x^6+39*x^5+24*x^4+21*x^3+11*x^2+25*x+40', 'y^2=19*x^6+29*x^5+21*x^4+3*x^3+25*x^2+27*x+35', 'y^2=14*x^6+30*x^5+29*x^4+32*x^3+39*x^2+11*x+38', 'y^2=2*x^6+16*x^5+10*x^4+28*x^3+29*x^2+25*x+23', 'y^2=36*x^6+29*x^5+9*x^4+38*x^3+24*x^2+27*x+21', 'y^2=25*x^6+27*x^5+31*x^4+29*x^3+31*x^2+27*x+25', 'y^2=27*x^6+39*x^5+22*x^4+10*x^3+22*x^2+39*x+27', 'y^2=35*x^6+21*x^5+13*x^4+26*x^3+26*x^2+4*x+14', 'y^2=5*x^6+3*x^5+37*x^4+33*x^3+33*x^2+24*x+2', 'y^2=4*x^6+38*x^5+22*x^4+20*x^3+20*x^2+4*x+1', 'y^2=24*x^6+23*x^5+9*x^4+38*x^3+38*x^2+24*x+6', 'y^2=40*x^6+16*x^5+5*x^4+7*x^3+37*x^2+23*x+33', 'y^2=35*x^6+14*x^5+30*x^4+x^3+17*x^2+15*x+34', 'y^2=34*x^6+38*x^5+27*x^4+7*x^3+34*x^2+30*x+35', 'y^2=40*x^6+23*x^5+39*x^4+x^3+40*x^2+16*x+5', 'y^2=28*x^6+24*x^5+27*x^4+18*x^3+36*x^2+29*x+36', 'y^2=17*x^6+21*x^5+4*x^4+37*x^3+19*x^2+10*x+16', 'y^2=24*x^6+24*x^5+26*x^4+20*x^3+13*x^2+20*x+34', 'y^2=21*x^6+21*x^5+33*x^4+38*x^3+37*x^2+38*x+40', 'y^2=14*x^6+37*x^5+4*x^4+9*x^2+10*x+7', 'y^2=x^6+13*x^5+23*x^4+11*x^3+27*x^2+19*x+12', 'y^2=5*x^6+30*x^5+13*x^4+28*x^3+9*x^2+30*x+16', 'y^2=6*x^6+33*x^5+35*x^4+2*x^3+26*x^2+26*x+25', 'y^2=11*x^6+27*x^5+9*x^4+27*x^3+15*x^2+17*x+15', 'y^2=25*x^6+39*x^5+13*x^4+39*x^3+8*x^2+20*x+8', 'y^2=23*x^6+24*x^5+20*x^4+7*x^3+34*x^2+17*x+3', 'y^2=15*x^6+21*x^5+38*x^4+x^3+40*x^2+20*x+18', 'y^2=6*x^6+3*x^5+10*x^4+10*x^3+x^2+15*x+37', 'y^2=36*x^6+18*x^5+19*x^4+19*x^3+6*x^2+8*x+17', 'y^2=8*x^6+32*x^5+16*x^4+x^3+15*x^2+14*x+18', 'y^2=7*x^6+28*x^5+14*x^4+6*x^3+8*x^2+2*x+26'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 124, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 10, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 149, 'id': 22247, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 149, 'label': '2.41.a_as', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -18, 0, 1681], 'poly_str': '1 0 -18 0 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, 0, -100], 'simple_distinct': ['1.41.ak', '1.41.k'], 'simple_factors': ['1.41.akA', '1.41.kA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F+5', '5,2*F+9', '5,23*F-16'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.41.au_ha', '2.1681.abk_flu', 2], ['2.41.u_ha', '2.1681.abk_flu', 2], ['2.41.as_gg', '2.2825761.izs_bgorgw', 4], ['2.41.aq_fq', '2.2825761.izs_bgorgw', 4], ['2.41.ac_c', '2.2825761.izs_bgorgw', 4], ['2.41.a_s', '2.2825761.izs_bgorgw', 4], ['2.41.c_c', '2.2825761.izs_bgorgw', 4], ['2.41.q_fq', '2.2825761.izs_bgorgw', 4], ['2.41.s_gg', '2.2825761.izs_bgorgw', 4], ['2.41.ak_ch', '2.4750104241.jria_cccwetvy', 6], ['2.41.k_ch', '2.4750104241.jria_cccwetvy', 6], ['2.41.a_adc', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.a_dc', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.ai_x', '2.22563490300366186081.ouqvbrw_uhpqxurdifkmyg', 12], ['2.41.i_x', '2.22563490300366186081.ouqvbrw_uhpqxurdifkmyg', 12]], 'weak_equivalence_count': 224, 'zfv_index': 6400, 'zfv_index_factorization': [[2, 8], [5, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4096, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,F+5', '5,2*F+9', '5,23*F-16']}